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Question

Three curves i.e.
a) y=x2
b) y=x4
c) y=x6
are depicted in the graph shown below. Which of the polynomials does the graph 3 represent?

A
y=x2
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B
y=x4
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C
y=x6
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D
cannot be determined
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Solution

The correct option is C y=x6
Consider the polynomial xn where n is a positive even integer.

As the value of n increases, then the curve goes closer to the positive y-axis.

Thus, the graph 3 represents the polynomial x6

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